e-Journal
Paper Type ![]() |
Contributed Paper |
Title ![]() |
Numerical Solution of Multi-Asset Option Pricing Problems Using an Improved RBF-DQ Method |
Author ![]() |
Leila Khodayari and M. Ranjbar |
Email ![]() |
leila.khodayari@azaruniv.edu; m_ranjbar@azaruniv.edu |
Abstract: In this paper, a modification of the original global radial basis functions-based differential quadrature (RBF-DQ) method is set forth and analyzed. The improved RBF-DQ method is applicable to the numerical approximation of solutions of a wide range of partial differential equations (PDEs) with mixed derivative terms. However, it appears to be considerably faster than the original method. In support of this contention, the multi-dimensional Black-Scholes (BS) equation in the Geometric Brownian Motion (GBM) framework has been solved numerically by using the proposed method and compared with results obtained via the original RBF-DQ method. For accuracy achieved versus work expended, the improved method performs better.
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Start & End Page ![]() |
1735 - 1743 |
Received Date ![]() |
2015-01-04 |
Revised Date ![]() |
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Accepted Date ![]() |
2016-02-03 |
Full Text ![]() |
Download |
Keyword ![]() |
radial basis functions, multi-dimensional Black-Scholes equation, differential quadrature, European option |
Volume ![]() |
Vol.44 No.4 (October 2017) |
DOI |
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Citation |
Khodayari L. and Ranjbar M., Numerical Solution of Multi-Asset Option Pricing Problems Using an Improved RBF-DQ Method, Chiang Mai Journal of Science, 2017; 44(4): 1735-1743. |
SDGs |
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